2004/05/31 by Valerio Scarani, Antonio Acin, Emmanuel Schenck +1 · 1 citation
Physics and Astronomy · #quant-ph
paper · pdf · doi:10.1103/physreva.71.042325
published as Phys. Rev. A 71, 042325 (2005) · 5 pages; paragraph V.B contains a comparison with Guehne et al., quant-ph/0410059
arxiv created 2005/04/25 · arxiv updated 2009/12/01
We investigate cluster states of qubits with respect to their non-local properties. We demonstrate that a Greenberger-Horne-Zeilinger (GHZ) argument holds for any cluster state: more precisely, it holds for any partial, thence mixed, state of a small number of connected qubits (five, in the case of one-dimensional lattices). In addition, we derive a new Bell inequality that is maximally violated by the 4-qubit cluster state and is not violated by the 4-qubit GHZ state.